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445545422344 = 231112752817549
BaseRepresentation
bin1100111101111001001…
…00111001111000001000
31120121000211022112212001
412132330210321320020
524244434112003334
6540403012400344
744122013413621
oct6367444717010
91517024275761
10445545422344
11161a55859310
12724243160b4
13330265491a9
14177c904ca48
15b8ca173714
hex67bc939e08

445545422344 has 64 divisors (see below), whose sum is σ = 918814464000. Its totient is φ = 200861337600.

The previous prime is 445545422341. The next prime is 445545422383. The reversal of 445545422344 is 443224545544.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 445545422294 and 445545422303.

It is not an unprimeable number, because it can be changed into a prime (445545422341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59016682 + ... + 59024230.

It is an arithmetic number, because the mean of its divisors is an integer number (14356476000).

Almost surely, 2445545422344 is an apocalyptic number.

445545422344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445545422344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459407232000).

445545422344 is an abundant number, since it is smaller than the sum of its proper divisors (473269041656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445545422344 is a wasteful number, since it uses less digits than its factorization.

445545422344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12974 (or 12970 counting only the distinct ones).

The product of its digits is 6144000, while the sum is 46.

Adding to 445545422344 its reverse (443224545544), we get a palindrome (888769967888).

The spelling of 445545422344 in words is "four hundred forty-five billion, five hundred forty-five million, four hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 127 254 508 1016 1397 2794 5281 5588 7549 10562 11176 15098 21124 30196 42248 58091 60392 83039 116182 166078 232364 332156 464728 664312 670687 958723 1341374 1917446 2682748 3834892 5365496 7377557 7669784 10545953 14755114 21091906 29510228 39866269 42183812 59020456 79732538 84367624 159465076 318930152 438528959 877057918 1754115836 3508231672 5063016163 10126032326 20252064652 40504129304 55693177793 111386355586 222772711172 445545422344